E3S Web Conf.
Volume 314, 2021The 6th edition of the International Conference on GIS and Applied Computing for Water Resources (WMAD21)
|Number of page(s)||6|
|Section||Hydrology, Hydrogeology and Hydro-geophysics|
|Published online||26 October 2021|
Mixed finite element method of a seawater intrusion problem in confined aquifers
LERMA, Ecole Mohammadia d’Ingénieurs, université Mohammed V, Agdal-Rabat, Maroc.
2 LMAID, Ecole Nationale Supérieure des Mines de Rabat, 1000 Agdal, Maroc.
3 Département de Mathématiques et de Statistique, Université de Moncton, Moncton, NB, E1A 3E9, Canada.
4 Institut Camille Jordan, Ecole centrale Lyon, 69134 Ecully, France.
* Corresponding author: email@example.com
We consider a model mixing sharp and diﬀuse interface approach for the seawater intrusion phenomenon in confined aquifers. The aim of this work is to introduce and analyze a new mixed formulation, obtained by writing the problem into a matrix form, and introducing a new variable σ = R(u)∇u representing the flux tensor of the primal variable u = (h, Φf)T. Here, h represents the depth of the salt/freshwater interface, Φf, the hydraulic head of freshwater, and R(u) a symmetric and positive definite diﬀusion matrix. We show that the continuous problem is well-posed. For the time discretization of this new mixed formulation, we use a semi-implicit scheme, and we show that the problem is well posed.
© The Authors, published by EDP Sciences, 2021
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